Let En be absolutely convergent. a. If yn is absolutely convergent, show that (xn+yn) is also absolutely convergent. b. If yn is conditionally convergent, show that (xn+ yn) is also conditionally convergent.

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A: Please see the below picture for detailed solution.

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A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

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